What is the answer to (4+i)x+(9-2i)y=-57+24i ?

The answer to (4+i)x+(9-2i)y=-57+24i is x=6,y=-9

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(4+i)x+(9-2i)y=-57+24i

(4 + i) x + (9 - 2 i) y = - 57 + 24 i

x = 6, y = - 9

Solution steps

(4 + i) x + (9 - 2 i) y = - 57 + 24 i

Rewrite

(4 + i) x + (9 - 2 i) y

in standard complex form:

(4 x + 9 y) + (x - 2 y) i

(4 x + 9 y) + (x - 2 y) i = - 57 + 24 i

Complex numbers can be equal only if their real and imaginary parts are equalRewrite as system of equations:

[4 x + 9 y = - 57 x - 2 y = 24]

[4 x + 9 y = - 57 x - 2 y = 24] : x = 6, y = - 9

x = 6, y = - 9

x 2 x - 4 y i = 10 - 5 i

z, w = \frac{1}{z + i}

∣ z + 1 + i ∣ = 2

(a + bi)^{2} = (a + b) (a - b) + 2 abi

z^{2} - (5 + 2 i) z = 0

What is the answer to (4+i)x+(9-2i)y=-57+24i ?
The answer to (4+i)x+(9-2i)y=-57+24i is x=6,y=-9